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131344535443212 = 2232713371083593501
BaseRepresentation
bin11101110111010100001000…
…011000001101011100001100
3122020001102012111122122221200
4131313110020120031130030
5114203422102033140322
61143202502510425500
736444221013333360
oct3567241030153414
9566042174578850
10131344535443212
11389399a5127033
121289354b202290
135839976268090
1424611764092a0
15102b88d2458ac
hex77750860d70c

131344535443212 has 144 divisors (see below), whose sum is σ = 419671428950592. Its totient is φ = 33704092224000.

The previous prime is 131344535443211. The next prime is 131344535443213. The reversal of 131344535443212 is 212344535443131.

131344535443212 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 45 + 354 + 43 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (131344535443211) and next prime (131344535443213).

It is not an unprimeable number, because it can be changed into a prime (131344535443211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541675539 + ... + 541917962.

It is an arithmetic number, because the mean of its divisors is an integer number (2914384923268).

Almost surely, 2131344535443212 is an apocalyptic number.

131344535443212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131344535443212 is an abundant number, since it is smaller than the sum of its proper divisors (288326893507380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131344535443212 is a wasteful number, since it uses less digits than its factorization.

131344535443212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083593568 (or 1083593563 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 131344535443212 in words is "one hundred thirty-one trillion, three hundred forty-four billion, five hundred thirty-five million, four hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 777 819 962 1036 1092 1332 1443 1554 1638 1924 2331 2886 3108 3276 3367 4329 4662 5772 6734 8658 9324 10101 13468 17316 20202 30303 40404 60606 121212 1083593501 2167187002 3250780503 4334374004 6501561006 7585154507 9752341509 13003122012 14086715513 15170309014 19504683018 22755463521 28173431026 30340618028 39009366036 40092959537 42260146539 45510927042 56346862052 68266390563 80185919074 84520293078 91021854084 98607008591 120278878611 126780439617 136532781126 160371838148 169040586156 197214017182 240557757222 253560879234 273065562252 280650716759 295821025773 360836635833 394428034364 481115514444 507121758468 521208473981 561301433518 591642051546 721673271666 841952150277 887463077319 1042416947962 1122602867036 1183284103092 1443346543332 1563625421943 1683904300554 1774926154638 2084833895924 2525856450831 3127250843886 3367808601108 3549852309276 3648459317867 4690876265829 5051712901662 6254501687772 7296918635734 9381752531658 10103425803324 10945377953601 14593837271468 18763505063316 21890755907202 32836133860803 43781511814404 65672267721606 131344535443212